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Beliebt Rechnen >

(\partial)/(\partial x)(sin^4(x-7y))

Lösung

\frac{\partial}{\partial x} (sin^{4} (x - 7 y))

Lösung

4 sin^{3} (x - 7 y) cos (x - 7 y)

Schritte zur Lösung

\frac{\partial}{\partial x} (sin^{4} (x - 7 y))

Behandle

y

als Konstante

Wende die Kettenregel an:

4 (sin (x - 7 y))^{3} \frac{\partial}{\partial x} (sin (x - 7 y))

= 4 (sin (x - 7 y))^{3} \frac{\partial}{\partial x} (sin (x - 7 y))

\frac{\partial}{\partial x} (sin (x - 7 y)) = cos (x - 7 y)

= 4 (sin (x - 7 y))^{3} cos (x - 7 y)

Vereinfache

= 4 sin^{3} (x - 7 y) cos (x - 7 y)

Beliebte Beispiele

\int 5 x d x

4 d y + y d x = x^{2} d y

y^{^{'}} = 2 x - 3 y + 1

e^{2 y} y^{^{'}} = 3

sum from n=0 to infinity of (x/4)^n

n = 0 \sum \infty (\frac{x}{4})^{n}